# Suppose you are sampling from a distribution that is

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7.Suppose you are sampling from a distribution that is strongly skewed left.Which of thefollowing statements about the sampling distribution of the sample mean is true?(a) As the sample size increases, the shape of the sampling distribution gets closer and closerto a Normal distribution.(b) As the sample size increases, the shape of the sampling distribution gets closer and closerto the shape of the population distribution.(c) As the sample size increases, the mean of the sampling distribution gets closer to thepopulation mean.(d) Regardless of the sample size, the shape of the sampling distribution is similar to theshape of the population distribution.(e) Regardless of the sample size, the standard deviation of the sampling distribution isapproximately equal to the standard deviation of the population.
8.Suppose we wish to estimate the percentage of students who smoke cigarettes at each ofseveral colleges and universities. Two of the colleges are Wabash College (enrollment 900)and Purdue University (enrollment 36,000).What should the relative size of our samples befrom each school if we want the two sampling distributions to have approximately the samestandard deviation?
9.In order to use the formula³´ˆ1pppnV±to calculate the standard deviation of the samplingdistribution of the sample proportion, which of the following conditions must be met?I.³´10 and110npnpt±II.The population’s distribution is approximately Normal.III. The sample size is less than 10% of the population size.t
10.A census of the labor force in a large metropolitan area found that the time it takes for peopleto commute to work has a mean of 20.5 minutes and a standard deviation of 15.4 minutes.What is the probability that a random sample of 40 people have a mean commute time that isgreater than 25 minutes?§·¨¸±!¨¸¨¸¨¸©¹§·¨¸±!¨¸¨¸¨¸©¹§·¨¸±!¨¸¨¸¨¸©¹¹
© 2011 BFW PublishersThe Practice of Statistics, 4/e- Chapter 7335
336The Practice of Statistics, 4/e- Chapter 7© 2011 BFW Publishers

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